EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION

İbrahim Erdal, (Ankara Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)
Şeyhmus Yardımcı (Ankara Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
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Yıl: 2019 Cilt: 68 Sayı: 1 Sayfa Aralığı: 663 - 671 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.459458 İndeks Tarihi: 19-11-2020

EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION

Öz:
In this work, we are concerned with di§erence operator of second order with impulsive condition. By the help of a transfer matrix M, wepresent scattering function of corresponding operator and examine the spectralproperties of this impulsive problem.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] Naimark, M. A., Investigation of the spectrum and the expansion in eigenfunctions of a nonselfadjoint operators of second order on a semi-axis, AMS Transl. (2), 16, (1960), 103-193.
  • [2] Marchenko, V. A., Sturm-Liouville operators and applications, Birkhauser Verlag, Basel, 1986.
  • [3] Agarwal, R. P., Difference equations and inequalities, in: Theory, Methods and Applications, Marcel Dekkar Inc., New York, Basel, 2000.
  • [4] Kelley, W. G and Peterson, A. C., Difference equations: an introduction with applications, Harcourt Academic Press, 2001.
  • [5] Akhiezer, N. I., The classical moment problem and some related questions in analysis, New York, 1965.
  • [6] Bairamov, E. and Çelebi, A. O., Spectrum and spectral expansion for the non-selfadjoint discrete Dirac operators, Quart J. Math. Oxford, 50(2), (1999), 371-384.
  • [7] Adıvar, M. and Bairamov, E., Spectral properties of non-selfadjoint difference operators, J. Math. Anal. Appl., 261, (2001), 461-478.
  • [8] Bairamov, E., Çakar, Ö. and Krall, A. M., Non-selfadjoint difference operators and Jacobi matrices with spectral singularities, Math. Nachr, 229, 2001.
  • [9] Adıvar, M. and Bairamov, E., Difference equations of second order with spectral singularities, J. Math. Anal. Appl., 277, (2003), 714-721.
  • [10] Bairamov, E., Çakar, Ö. and Krall, A. M., An eigenfunction expansion for a quadratic pencil of a Schrödinger operator with spectral singularities, J. Differential Equations, 151, (1999), 268-289.
  • [11] Bairamov, E. and Cebesoy, ¸S., Spectral singularities of the matrix Schrˆdinger equations, Hacet J. Math. Stat., 45, (2016), 1007-1014.
  • [12] Aygar, Y., Investigation of spectral analysis of matrix quantum difference equations with spectral singularities, Hacet. J. Math. Stat., 45, (2016), 999-1005.
  • [13] Ugurlu, E and Bairamov, E., Dissipative operators with impulsive conditions, J. Math. Chem., 51(6), (2013), 1670-1680.
  • [14] Mostafazadeh, A., Spectral singularities of a general point interaction, J. Phys. A. Math. Theory, 44, 375302, (2011), (9pp).
  • [15] Allahverdiev, B. P., Bairamov, E. and Ugurlu, E., Eigenparameter dependent Sturm-Liouville problems in boundary conditions with transmission conditions , J. Math. Anal. Appl., 401(1), (2013), 388-396.
  • [16] Bairamov, E., Aygar, Y. and Karslıoglu, D., Scattering analysis and spectrum of discrete Schrödinger equations with transmission conditions, Filomat, 31, 17, (2017), 5391-5399
  • [17] Guseinov, G. Sh., The inverse problem of scattering theory for a second order difference equation, Sov. Math., Dokl., 230, (1976), 1045-1048. [18] Berezanski, Y. M., Expansions in eigenfunctions of selfadjoint operators, AMS, Providence, 1968.
  • [19] Naimark, M. A., Linear differential operators, Frederick Ungar Publishing Co. New York, 1968.
APA Erdal İ, Yardımcı Ş (2019). EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION. , 663 - 671. 10.31801/cfsuasmas.459458
Chicago Erdal İbrahim,Yardımcı Şeyhmus EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION. (2019): 663 - 671. 10.31801/cfsuasmas.459458
MLA Erdal İbrahim,Yardımcı Şeyhmus EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION. , 2019, ss.663 - 671. 10.31801/cfsuasmas.459458
AMA Erdal İ,Yardımcı Ş EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION. . 2019; 663 - 671. 10.31801/cfsuasmas.459458
Vancouver Erdal İ,Yardımcı Ş EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION. . 2019; 663 - 671. 10.31801/cfsuasmas.459458
IEEE Erdal İ,Yardımcı Ş "EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION." , ss.663 - 671, 2019. 10.31801/cfsuasmas.459458
ISNAD Erdal, İbrahim - Yardımcı, Şeyhmus. "EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION". (2019), 663-671. https://doi.org/10.31801/cfsuasmas.459458
APA Erdal İ, Yardımcı Ş (2019). EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68(1), 663 - 671. 10.31801/cfsuasmas.459458
Chicago Erdal İbrahim,Yardımcı Şeyhmus EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 68, no.1 (2019): 663 - 671. 10.31801/cfsuasmas.459458
MLA Erdal İbrahim,Yardımcı Şeyhmus EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.68, no.1, 2019, ss.663 - 671. 10.31801/cfsuasmas.459458
AMA Erdal İ,Yardımcı Ş EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(1): 663 - 671. 10.31801/cfsuasmas.459458
Vancouver Erdal İ,Yardımcı Ş EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(1): 663 - 671. 10.31801/cfsuasmas.459458
IEEE Erdal İ,Yardımcı Ş "EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68, ss.663 - 671, 2019. 10.31801/cfsuasmas.459458
ISNAD Erdal, İbrahim - Yardımcı, Şeyhmus. "EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 68/1 (2019), 663-671. https://doi.org/10.31801/cfsuasmas.459458
Sayfa Oluşturulma Tarihi
10-05-2024 7:1

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